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Finding the Third Proportional to 189,134,112 and 410,551,503

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Solution

The third proportional to 189,134,112 and 410,551,503 is: 891,179,993.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,134,112 : 410,551,503 = 410,551,503 : x
  2. Step 2: Convert to fraction form
    189,134,112/410,551,503 = 410,551,503/x
  3. Step 3: Cross multiply
    189,134,112x = 410,551,503 × 410,551,503
  4. Step 4: Simplify right side
    189,134,112x = 168,552,536,615,559,008
  5. Step 5: Solve for x
    x = 168,552,536,615,559,008/189,134,112
  6. Step 6: Final answer
    x = 891,179,993.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.